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Simplifying 8(v + 3) + -2V = 2(3v + 2) + -6 Reorder the terms: 8(3 + v) + -2V = 2(3v + 2) + -6 (3 * 8 + v * 8) + -2V = 2(3v + 2) + -6 (24 + 8v) + -2V = 2(3v + 2) + -6 Reorder the terms: 24 + -2V + 8v = 2(3v + 2) + -6 Reorder the terms: 24 + -2V + 8v = 2(2 + 3v) + -6 24 + -2V + 8v = (2 * 2 + 3v * 2) + -6 24 + -2V + 8v = (4 + 6v) + -6 Reorder the terms: 24 + -2V + 8v = 4 + -6 + 6v Combine like terms: 4 + -6 = -2 24 + -2V + 8v = -2 + 6v Solving 24 + -2V + 8v = -2 + 6v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -2V + -24 + 8v = -2 + -24 + 6v Reorder the terms: 24 + -24 + -2V + 8v = -2 + -24 + 6v Combine like terms: 24 + -24 = 0 0 + -2V + 8v = -2 + -24 + 6v -2V + 8v = -2 + -24 + 6v Combine like terms: -2 + -24 = -26 -2V + 8v = -26 + 6v Add '-8v' to each side of the equation. -2V + 8v + -8v = -26 + 6v + -8v Combine like terms: 8v + -8v = 0 -2V + 0 = -26 + 6v + -8v -2V = -26 + 6v + -8v Combine like terms: 6v + -8v = -2v -2V = -26 + -2v Divide each side by '-2'. V = 13 + v Simplifying V = 13 + v
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